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Finding the Third Proportional to 198,438 and 436,384

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Solution

The third proportional to 198,438 and 436,384 is: 959,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438 : 436,384 = 436,384 : x
  2. Step 2: Convert to fraction form
    198,438/436,384 = 436,384/x
  3. Step 3: Cross multiply
    198,438x = 436,384 × 436,384
  4. Step 4: Simplify right side
    198,438x = 190,430,995,456
  5. Step 5: Solve for x
    x = 190,430,995,456/198,438
  6. Step 6: Final answer
    x = 959,649.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.